# A triangle has corners A, B, and C located at #(7 ,3 )#, #(4 ,8 )#, and #(3 , 4 )#, respectively. What are the endpoints and length of the altitude going through corner C?

##### 1 Answer

Feb 3, 2016

#### Answer:

The answer is (5.5,5.5)

#### Explanation:

this an isosceles triangle, you can show it by calculating the

distance formula

Thus:

So the midpoint of the base should be the altitude since it will also be the perpendicular bisector.

Now subtracting point A from B

You will find the horizontal a d vertical separation to be (3,-5)

half these separation, (1.5, -2.5), add to B(4,8) or subtract fromA(7, 3)

And get the point (5.5,5.5) this is the altitude of our isosceles triangle...